Aharonov-Bohm effect in the non-Abelian quantum Hall fluid

Abstract

The nu=5/2 fractional quantum Hall effect state has attracted great interest recently, both as an arena to explore the physics of non-Abelian quasiparticle excitations, and as a possible architecture for topological quantum information processing. Here we use the conformal field theoretic description of the Moore-Read state to provide clear tunneling signatures of this state in an Aharonov-Bohm geometry. While not probing statistics directly, the measurements proposed here would provide a first, experimentally tractable step towards a full characterization of the 5/2 state.

arXiv comment5 pages, 3 figures, 2 tables, added one more figure and conductances formulae for the three channels

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Cited by in corpus (8)

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• Anyons and the quantum Hall effect - a pedagogical review
• Edge states and tunneling of non-Abelian quasiparticles in the nu=5/2 quantum Hall state and p+ip superconductors
• Topologically protected quantum gates for computation with non-Abelian anyons in the Pfaffian quantum Hall state
• Quantum transport in electron Fabry-Perot interferometers
• Towards a universal set of topologically protected gates for quantum computation with Pfaffian qubits
• Flux period scaling in the Laughlin quasiparticle interferometer
• Conformal field theory description of mesoscopic phenomena in the fractional quantum Hall effect